Hi Sherri,
Here are some links that might help.
Advice from Dogs Trust on convincing a landlord to allow dogs:
www.letswithpets.org.uk
Searching on 'pet friendly hackney' gave me this one:
http://www.propertyfinder.com/cgi-bi...o&id=505425820
Here's a link to "dogs allowed" properties in London:
http://www.oodle.co.uk/housing/rent/...lnd:london/+0/
http://www.globrix.com/property/rent...keyword_field=
Then in the left hand column under 'Keywords', select 'Pets allowed'.
You can save your search so you get emailed when a new property is added.
Two big property portals used by agents:
www.rightmove.co.uk
www.primelocation.com
Classified listings:
www.vivastreet.co.uk
www.gumtree.com
Also search on:
flat london well-behaved pets
rent london well-behaved pets
rental london well-behaved pets
(etc)
Enjoy your time in the UK! I moved here from the US 22 years ago and liked it so much I'm still here!